Some sufficient and necessary conditions of - nilpotent group 幂零群的几个充要条件
Theorem 3 . 10 if g is locally nilpotent group and c * - group , then g is baer nilpotent and hypercentral group 定理3若局部幂零群g是c二群,则g是baer幂零而且是超限上中心群
Theorem 3 . 11 if g is torsion locally nilpotent group and c ( p ) - group , then the nilpotent class of g is at most 3 定理3 11若周期的局部幂零群g是c ” …卜群,则g的类最多为3
So we can easily obtain nilpotent class of s * ( a * , c * ) - groups and the structure of their derived subgroup in the case of torsion and locally nilpotent group 从而进一步得到了周期的局部幂零群的幂零类及导群的结构。
Suppose that ( x ) is contain in v ( g ) for every element x of n with prime order , and suppose that ( y ) is semi - normal or c - normal in g for every element y of n with order 4 , then g is nilpotent 若n之极小子群含于v ( g ) ,且2 ~ 2阶循环子群在g中或半正规或c -正规,则g是幂零群
零: zero zero sign; nought群: crowd; group幂零群: nilpotent group有限幂零群: finite nilpotent group零忍: shinobu rei零缺陷质量管理: zero defect quality control零任,附件,附属设备: accessory零缺陷软件: zds zero defect software零容差: zero allowance零缺陷焊接: zero defect soldering零容度: content zero零缺陷管理: zero defects零容积: zero volume零缺陷概念: zero-defect concept